Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs

Question

Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is 0.946 and the equation of the regression line is y = - 0.54 + 0.98x, where x represents the IQ score of the twin born first. Also, the 20 x values have a mean of 104.05 and the 20 y values have a mean of 101.5. What is the best predicted IQ of the twin born second, given that the twin born first has an IQ of 106? Use a significance level of 0.05. click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted IQ of the twin bom second is . (Round to two decimal places as needed.)

Explanation / Answer

As

y^ = -0.54 + 0.98x

Then when x = 106, then the best predicted IQ of the second is

y^ = -0.54 + 0.98*106 = 103.34 [ANSWER]

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